Refereed
Publications
R. Andreani, Ellen H. Fukuda, Gabriel Haeser,
Daiana O. Santos and Leonardo D. Secchin
Optimality Conditions for Nonlinear Second-Order Cone
Programming and Symmetric Cone Programming
Journal of Optimization Theory and Applications.
https://doi.org/10.1007/s10957-023-02338-6
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R. Andreani, G. Haeser,L. M. Mito and H. Ramirez.
Weak notions of nondegeneracy in nonlinear semidefinite programming.
MathematicalProgramming.
https://doi.org/10.1007/s10107-023-01970-4
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R. Andreani, G. Haeser,L. M. Mito, H. Ramirez and T. Silveira.
First- and second-order optimality conditions for second-order cone and semidefinite programming under a constant rank condition. Mathematical Programming. DOI10.1007/s10107-023-01942-8
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R. Andreani, G. Haeser,L. M. Mito and H. Ramirez
Sequential Constant Rank Constraint Qualifications for Nonlinear Semidefinite Programming with Algorithmic Applications. Set-Valued and Variational Analysis (2023) 31:3. DOI10.1007/s11228-023-00666-3.
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Roberto Andreani, Rui M. Carvalho, Leonardo D. Secchin and Gilson N. Silva.
CONVERGENCE OF QUASI-NEWTON METHODS FOR SOLVING
CONSTRAINED GENERALIZED EQUATIONS. ESAIM: Control, Optimisation and Calculus of Variations.
Mathematics
https://doi.org/10.1007/s10957-022-02056-5
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R. Andreani, G. Haeser,L. M. Mito, H. Ramirez and
T. P. Silveira. Global Convergence of Algorithms Under Constant Rank
Conditions for Nonlinear Second-Order Cone Programming.JOTA
https://doi.org/10.1007/s10957-022-02056-5
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Roberto Andreani,Harry Oviedo, Marcos Raydan and L. Secchin.
An extended delayed weighted gradient algorithm for solving strongly convex optimization
problems.Numerical Algorithms.
https://doi.org/10.1051/cocv/2022026
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V. S. Amaral, R. Andreani, Birgin, S. Marcondes and J. M. Martínez. On complexity and convergence of high-order coordinate
descent algorithms for smooth nonconvex box-constrained.Journal of Global Optimization
https://doi.org/10.1007/s10898-022-01168-6
On
minimization
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Harry Oviedo, Roberto Andreani and Marcos Raydan. A family of optimal weighted
conjugate-gradient-type methods for strictly convex
quadratic minimization.Numerical Algorithms
https://doi.org/10.1007/s11075-021-01228-0
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Roberto Andreani, Gabriel Haeser, Leonardo M. Mito, Alberto Ramos and Leonardo Secchin.
On the best achievable quality of limit points of augmented Lagrangian schemes.Numerical Algorithms (2022)
https://doi.org/10.1007/s11075-021-01212-8.
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R. Andreani, A. L. Custódio and M. Raydan
To
Using first-order information in direct multisearch for
multiobjective optimization.OPTIMIZATION METHODS & SOFTWARE
https://doi.org/10.1080/10556788.2022.2060971.
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Roberto Andreani, Gabriel Haeser, Leonardo M. Mito, Alberto Ramos and Leonardo Secchin.
On the best achievable quality of limit points of augmented Lagrangian schemes 10.1007/s11075-021-01212-8.
To appear in Numerical Algorithm.
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Roberto Andreani, Gabriel Haeser, Maria Laura Schuverdt , Leonardo Secchin and Paulo Silva e Silva.
On scaled stopping criteria for a safeguarded
augmented Lagrangian method with theoretical guarantees. Mathematical Programming Computation. 2021
DOI: 10.1007/s12532-021-00207-9
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Roberto Andreani,Walter Gómez, Gabriel Haeser, Leonardo M. Mito and Alberto Ramos. On optimality conditions for nonlinear conic
programming. To appear in Mathemtical of Operations Research
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R. Andreani,E. H. Fukuda, G. Haeser, D. O. Santos and L. D. Secchin. On the use of Jordan Algebras for improving global
convergence of an Augmented Lagrangian method.Computational Optimization and Applications
https://doi.org/10.1007/s10589-021-00281-8
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Roberto Andreani, Alberto Ramos, Ademir A Ribeiro, Leonardo D Secchin and Ariel R Velazco.
On the convergence of augmented Lagrangian strategies for nonlinear programming
IMA Journal of Numerical Analysis.https://doi.org/10.1093/imanum/drab021
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R. Andreani1, G. Haeser,L. M. Mito, H. Ramírez, D. O. Santos and
T. P. Silveira2. Naive constant rank-type constraint qualifications for
multifold second-order cone programming and
semidefinite programming.Optimization Letters
https://doi.org/10.1007/s11590-021-01737-w
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R. Andreani, E. H. Fukuda, G. Haeser, H. Ramirez, D. O. Santos and P. J. S. Silva.
T. P. Silveira3. Erratum to: New Constraint Qualifications and
Optimality Conditions for Second Order Cone Programs. Set-Valued and Variational Analysis
https://doi.org/10.1007/s11228-021-00573-5
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R. Andreani and M. Raydan. Properties of the delayed weighted gradient method.
Computational Optimization and Applications (2021) 78:167–180.2021
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R. Andreani, V.A. Oliveira. J. T. Pereira and G.N. Silva.A weak maximum principle for optimal control problems with mixed constraints
under a constant rank condition. IMA Journal of Mathematical Control and Information. 00, 1-27. (2020)
doi:10.1093/imamci/dnz036
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R. Andreani, G. Haeser and D. Viana. Optimality conditions and global convergence for nonlinear semidefinite programming.
Mathematical programming. Volume 180, pages 203-235(2020). https://doi.org/10.1007/s10107-018-1354-5.
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R. ANDREANI, G. HAESER, L. D. SECCHIN and P. J. S. SILVA.
New sequential optimality conditions for mathematical programs
with complementarity constraints and algorithmic consequences.
SIAM J. OPTIM.
Vol. 29, No. 4, pp. 3201-3230. (2019)
https://doi.org/10.1137/18M121040X
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R. Andreani, N. Fazzio, M.L. Schuverdt and L.
Secchin A Sequential Optimality Condition Related to the
Quasi-normality Constraint Qualification and Its Algorithmic
Consequences. SIAM JOURNAL ON OPTIMIZATION, v. 29, p. 743-766, 2019.
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R. Andreani, Sandra Santos, L. Secchin and V. Ramirez.
Bilevel optimization with a multiobjective problem in the lower level.
Numerical Algorithms. Volume 81 (3), pp. 915-946 (2018)
https://doi.org/10.1007/s11075-018-0576-1.
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R. Andreani, J.M. Martínez, Paulo S. Silva and
A. Ramos. Strict Constraint Qualifications and Sequential
Optimality Conditions for Constrained Optimization. MATHEMATICS OF
OPERATIONS RESEARCH (ONLINE), v. 43, p. 693-717, 2018.
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R. Andreani, Paulo S.
Silva and L. Secchin Convergence Properties of a Second Order
Augmented Lagrangian Method for Mathematical Programs with
Complementarity Constraint SIAM JOURNAL ON OPTIMIZATION, v. 28, p.
2574-2600, 2018.
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R. Andreani, R. Behling, G.
Haeser and Paulo S. Silva. On second-order optimality conditions in
nonlinear optimization. Optimization Methods & Software (Print),
v. 32, p. 22-38, 2017.
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R. Andreani, G. Haeser, Paulo S.
Silva and A. Ramos. A second-order sequential optimality condition
associated to the convergence of optimization algorithms. IMA JOURNAL
OF NUMERICAL ANALYSIS, v. 37, p. 1902-1929, 2017.
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R. Andreani, J.M.
Martínez, Paulo S. Silva and A. Ramos. A Cone-Continuity
Constraint Qualification and Algorithmic Consequences. SIAM Journal
on Optimization (Print), v. 26, p. 96-110, 2016.
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R. Andreani, J.M.
Martínez and L.T. SANTOS. Newton's method may fail to
recognize proximity to optimal points in constrained optimization.
Mathematical Programming, v. 160, p. 547-555, 2016.
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R. Andreani, J. Judice,
J.M. Martínez and T. Marini . Feasibility problem with
complementarity constraint. European Jornal of Operational Research,
p. 1-14, 2015.
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pdf format
R. Andreani and J.P Silva.Constant rank
constraint qualification: A geometric introduction. Pesquisa
Operacional , v. 34, n 3, p. 481-494, 2014.
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R. Andreani, J.M.
Martínez, B. Svaiter and L. T. Santos. On the behaviour of
constrained optimization methods when Lagrange multipliers do not
exist. Optimization Methods and Software, v. 29, n 3 p. 646-657,
2014.
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R. Andreani, E. Fukuda and P. J. S. Silva. A
Gauss-Newton Approach for Solving Constrained Optimization Problems
Using Differentiable Exact Penalties. Journal of Optimization Theory
and Applications. February 2013, Volume 156, Issue 2, pp 417-449.
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R. Andreani, M. Raydan and P. Tarazaga. On the
geometrical structure of symmetric matrices. Linear Algebra and its
Applications, v. 438, p. 1201-1214, 2013.
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R. Andreani, G. Hseser,
M. L. Schuverdt, P. J. S. SILVA. Two New Weak Constraint
Qualifications and Applications. SIAM Journal on Optimization, v. 22,
p. 1109-1135, 2012.
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R. Andreani, G. Haeser, M. L.
Schuverdt, P. J. S. SILVA . A relaxed constant positive linear
dependence constraint qualification and applications. Mathematical
Programming,v. 135, p. 255-273, 2012.
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R. Andreani, J. Judice,
J.M. Martínez and J. Patricio. A projected-gradient
interior-point algorithm for complementarity problems. Numerical
Algorithms, 2011, Volume 57, Number 4, Pages 457-485
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R. Andreani, J.M.
Martínez and B.F. Svaiter. A New Sequential Optimality
Condition for Constrained Optimization and Algorithmic Consequences.
SIAM Journal on Optimization (Print), v. 20, p. 3533-3554, 2010.
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R. Andreani, E. Echague and M. L. Schuverdt.
Constant-Rank Condition and Second-Order Constraint Qualification.
Journal of Optimization Theory and Applications, v. 146, p. 255-266,
2010.
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R. Andreani, J. Judice, J.M. Martínez and J.
Patricio. On the natural merit function for solving complementarity
problems. Mathematical Programming, v. 1, p. 130-159, 2010.
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R. Andreani, G. Haeser
and J.M. Martínez. On sequential optimality conditions for
smooth constrained optimization. Optimization (Print), v. 60, p.
627-641, 2011.
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pdf format
An inexact-restoration method for
nonlinear bilevel programming problems Author(s): R. Andreani, S.
Castro , J. Chela, A. Friedlander and S. Santos. Source:
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS Volume: 43 Issue: 3
Pages: 307-328 Published: JUL 2009
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R. Andreani, E. Birgin,
J.M. Martínez and M.L. Schuverdt. Second-order
negative-curvature methods for box-constrained and general
constrained optimization. Computational Optimization and Applications
45, pp. 209-236 (2010).
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R. Andreani, J.M.
Martínez and L.Martínez. Trust-Region Superposition
Methods for Protein Alignment. IMA Journal on Numerical Analysis 28,
pp. 690-710 (2008).
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R. Andreani, J.M. Martínez,
L.Martínez and F. Yano. Low Order-Value Optimization and new
applications. Journal of Global Optimization 43, pp. 1-10 (2009).
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L. Martínez, R. Andreani, J. M. Martínez
Convergent algorithms for protein structural alignment. BMC
Bioinformatics 2007, 8:306 doi:10.1186/1471-2105-8-306 [Full Text
Online].
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R. Andreani, E. Birgin,
J.M. Martínez and M.L. Schuverdt. On Augmented Lagrangian
methods with general lower-level constraints. SIAM Journal on
Optimization 18, pp. 1286-1309, 2007.
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R. Andreani, J. M.
Mart?ez and M. L. Schuverdt. On Second-Order Optimality Conditions
for Nonlinear Programming. Optimization 56, pp. 529-542 (2007).
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R. Andreani, A. Friedlander, S. Santos and M.P.
Mello. Complementarity problem in second-order cone.JOURNAL OF GLOBAL
OPTIMIZATION Volume: 40 Issue: 4 Pages: 505-527 Published: APR 2008
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R. Andreani, J.M. Martínez, L.Martínez
and F. Yano. Continuous Optimization Methods for Structure
Alignments. Mathematical Programming 112, pp. 93-124 (2008)
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R. Andreani, E. Birgin
J. M. Martínez and M.L. Schuverdt. Augmented Lagrangian
methods under the Constant Positive Linear Dependence constraint
qualification. Mathematical Programming 112, pp. 5-32 (2008).
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R.
Andreani, J. M. Martínez, M. Salvatierra and F. Yano. Global
Order-Value Optimization by means of a multistart harmonic oscillator
tunneling strategy. In Global
Optimization: from Theory to Implementation,
edited by L. Liberti and N. Maculan, Kluwer. pp
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R. Andreani, J. M.
Martínez, M. Salvatierra and F. Yano. Quasi-Newton methods for
Order-Value Optimization and Value-at-Risk calculations. Pacific
Journal of Optimization,
Vol. 2, pp. 11-33 (2006)
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L.T. Santos, F. Yano, M.
Salvatierra, J. M. Martínez, R. Andreani & M. Tygel, A
Global Optimization Algorithm Applied to the Commom Reflection
Surface (CRS) Problem. Journal
of Seismic Exploration,
14, 217-233, 2005.
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in pdf format
R. Andreani, C. Dunder and J. M.
Martínez. Order-value Optimization and nonlinear-programming
reformulation. Mathematical
Methods of Operations Research.
61, pp. 365-384 (2005)
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R. Andreani, E.G. Birgin, J. M.
Martínez and Yinyun Yuan. Implementation of spectral projected
gradient and variable metric methods for optimization with linear
inequalities. IMA
Journal of Numerical Analisys.
25, pp. 221-252 (2005)
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R. Andreani, J. M. Martínez
and M.L. Schuverdt. The CPLD condition of Qi and Wei implies the
quasinormality constraint qualification. Journal
of Optimization theory and Applications,
125 (2) 473-485. 2005
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R. Andreani, A. Friedlander,
M.P. Mello and S.A. Santos Mixed nonlinear complementarity problems
via nonlinear optimization: numerical results on multi-rigid-body
contact problems with Coulomb friction. Intenational
Journal of COMPUTATIONAL ENGINEERING SCIENCE (IJCES),
6 (2), pp.1-10, 2005.
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R. Andreani, P.S.
Goncalves and G.N. Silva. Discrete Approximations for Strict Convex
Continuous Time Problems and Duality. Computational
& Applied Mathematics
vol 23 (1) pp 81--105. (2004)
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R. Andreani, C. Dunder
and J. M. Martínez. Order-value Optimization, formulation and
solution by means of primal Cauchy Methods. In Mathematical
Methods of Operations Research .
Vol 58, (2), pp 345-358. (2003)
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R. Andreani and D. K.
Dimitrov. An extremal non-negative sine polynomial. Rocky
Mountain Journal of Mathematics .
Vol 33, (3), pp 759-774 (2003)
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R. Andreani and A.
Friedlander. Bound Constrained Smooth Optimization for Solving
Variational Inequalities and Related Problems. In
Annals of Operations Research .
vol 116, (1-4), pp 179--198. (2002)
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R. Andreani, J.M.
Martínez. On the solution of mathematical programming problems
with equilibrium constraints by means of nonlinear programming
algoritms. In Mathematical
Methods of Operations Research .
Vol 54, (3), pp 345-358. (2001)
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R. Andreani, A.
Friedlander and S.A. Santos. On the resolution of generalized
nonlinear complementarity problem. In SIAM
Journal on Optimization .
Vol 12, (2), pp 303--321. (2001)
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R. Andreani and J. M.
Martínez. On the solution of bounded and unbounded mixed
complementarity problems. In Optimization
.
vol 50, (3--4), pp 265-278. (2001)
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R. Andreani, J.M.
Martínez and B.F. Svaiter. Solving monotone variational
inequality problems by means of inexact perturbations. In Numerical
Functional Analysis and Optimization .
vol 21, (5--6), pp 589-600. (2000)
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R. Andreani and J. M.
Martínez. Reformulation of variational inequalities on a
simplex and compactification of complementarity problem. In SIAM
Journal on Optimization .
vol 10, (3), pp 878-895.(2000)
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R. Andreani and J. M.
Martínez. On the reformulation of nonlinear complementarity
problems using the Fischer-Burmeister function. In Applied
Mathematics Letters .
vol 12, (5), pp 7-12, (1999)
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R. Andreani and J. M. Martínez.
Solving complementarity problems by means of a new smooth constrained
nonlinear solver. In Reformulation
- Nonsmooth, Piecewise Smooth, Semismooth and Smoothing methods .
Edited by M. Fukushima and L. Qi. Kluwer, pp.1-24 (1999).
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R. Andreani and J. M.
Martínez. On the solution of the extended linear
complementarity problem. Linear
Algebra and its Applications .
281, pp. 247-257 (1998).
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R. Andreani, A. Friedlander, J.
M. Martínez. On the solution of finite-dimensional variational
inequalities using smooth optimization with simple bounds. Journal
on Optimization Theory and Applications .
94, pp. 635-657 (1997).
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